Table 2.

We tested the accuracy of the predictor ${\widetilde{ϵ}}_{i-1}=\left(1+{\displaystyle \frac{n}{4}}\right)W_{min,i}$ for 16 lowermost eigenvalues. The chebfun solution was used to benchmark the error.

	0	1	2	3	4	5	6	7
Minimum values of W	0.747201	0.918677	0.918754	0.933014	1.028903	1.057663	1.174706	1.245278
chebfun eigenvalues	0.979730	1.071839	1.230230	1.282611	1.301724	1.485232	1.577349	1.588252
Relative error in %	4.6675	7.1379	6.6481	9.0708	1.1981	1.9850	6.9082	1.9930
	8	9	10	11	12	13	14	15
Minimum values of W	1.256498	1.273980	1.326926	1.613203	1.848415	1.868003	1.907063	1.931723
chebfun eigenvalues	1.625253	1.758768	1.780166	2.095899	2.161778	2.265704	2.270798	2.278380
Relative error in %	3.3614	9.4551	6.8257	3.7882	6.8805	3.05864	4.9776	5.9811